Brynjulf Owren
About
Brynjulf Owren has been a professor at the Department of Mathematical Sciences since January 1994. He belongs to the research group Differential Equations and Numerical Analysis.
Main area of research
Numerical analysis of ordinary and partial dfferential equations, initial value problems, integration methods for dfferential equations on manifolds (geometric integration). Mathematical modelling.
Academic degrees
 Doktoringeniør (PhD) in Numerical Analysis at the Norwegian Institute of Technology (NTH) (1990) Continuous Explicit RungeKutta Methods with Applications to Ordinary and Delay Differential Equations, advisor: Professor S.P. Nørsett.
 Sivilingeniør (Master of Science) in Physics and Mathematics at NTH, 1984. Main subject: Numerical mathematics. MSc thesis: Acoustic response in oil wells (in Norwegian).
Work experience
 1994 current: Professor at the Department of Mathematical Sciences, NTNU
 20122017: Vice Dean of Education at the Faculty of Information Technology and Electrical Engineering, NTNU.
 19921993 Førsteamanuensis (Assistant professor) at the Department of Mathematics and Statistics, University of Trondheim
 19901992 Postdoctoral fellow at Department of Computer Science, University of Toronto.
 1990 Lecturer at the Norwegian Institute of Technology.
 19871989 Ph.D. fellowship from NTH.
 1986 Research assistant (vitenskapelig assistent) at Department of Mathematical Sciences, NTH.
 198890 Research scientist (forsker), part time, at SINTEF Industrial Mathematics, Trondheim, Norway.
 19851988 Research Geophysicist at SERES A/S, Trondheim, Norway.
 Supervised 10 PhD students (current and former) and 31 M.Sc. students.
Memberships, leadership experience (selection)
 President of the Norwegian Mathematical Council from 2015
 Member of Board of Directors of SEFI (European Society for Engineering Education) 20122015
 President of the Norwegian Mathematical Society 2007{2011 (board member since 2004)Council member of ECMI 2007{2011 (European Consortium for Mathematics in Industry).
 Leader of special year in Geometric Integration, Center for Advanced Study, Oslo, 20022003 (coorganised with Prof MuntheKaas, University of Bergen)
 Leader of 2004–2007, and of study programme in Physics and Math, NTNU, 2008–2012Board member of UNIK, 2015 (University Graduate Center at Kjeller)
 Board member of the Norwegian Mathematical Council
Some later research projects
 GALA. EU Sixth Framework Programme, STREP project 2006–2009. Leader for Trondheim node.
 3D CSEM. Inversion and Modeling 2012–2015. Joint project between NTNU and the company EMGS.
 SPIRIT. Structure Preserving Integrators, discRete Integrable systems and algebraic combinaTorics. The Research Council of Norway, 2013–2017, Project leader.
See my CV for more detailed information.
Publications
2024

Arnold, Martin;
Celledoni, Elena;
Cokaj, Ergys;
Owren, Brynjulf Rustad;
Tumiotto, Denise.
(2024)
Bstability of numerical integrators on Riemannian manifolds
.
Journal of Computational Dynamics
Academic article
2023

Bogfjellmo, Geir;
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf Rustad;
Quispel, Gilles Reinout Willem.
(2023)
Using aromas to search for preserved measures and integrals in Kahan’s method.
Mathematics of Computation
Academic article

Celledoni, Elena;
Murari, Davide;
Owren, Brynjulf Rustad;
Schonlieb, CarolaBibiane;
Sherry, Ferdia.
(2023)
DYNAMICAL SYSTEMS  BASED NEURAL NETWORKS.
SIAM Journal on Scientific Computing
Academic article
2022

Haugen, Kjetil K.;
Solberg, Harry Arne;
Sætre, Irene Lange;
Kringstad, Morten;
Gammelsæter, Hallgeir;
Vik, Erlend.
(2022)
Fra toppen av Haugen : historien gjentar seg for tabelltippingkongen.
Panorama : nettavis for Høgskolen i Molde
Feature article

Tapley, Benjamin Kwanen;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2022)
Computational geometric methods for preferential clustering of particle suspensions.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin Kwanen.
(2022)
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS.
Journal of Computational Dynamics
Academic article

Haugen, Kjetil K.;
Solberg, Harry Arne;
Sætre, Irene Lange;
Loktu, Morten;
Guvåg, Bjørn;
Owren, Brynjulf.
(2022)
Fra toppen av Haugen : årets vinner er fra NTNU.
Panorama : nettavis for Høgskolen i Molde
Feature article

Celledoni, Elena;
Cokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf Rustad.
(2022)
Dynamics of the Nfold Pendulum in the Framework of Lie Group Integrators.
Mathematics in Industry
Academic article

Murari, Davide;
Celledoni, Elena;
Owren, Brynjulf Rustad;
Sherry, Ferdia;
Schönlieb, CarolaBibiane.
(2022)
Structure preserving neural networks based on ODEs.
NeurIPS 2022 Workshop DLDE homepage
Report

Celledoni, Elena;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Learning Hamiltonians of constrained mechanical systems.
Journal of Computational and Applied Mathematics
Academic article
2021

Andersson, Helge Ingolf;
Celledoni, Elena;
Ohm, Laurel;
Owren, Brynjulf;
Tapley, Benjamin.
(2021)
An integral model based on slender body theory, with applications to curved rigid fibers .
Physics of Fluids
Academic article

Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, CarolaBibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems
Academic article

Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2021)
Lie Group integrators for mechanical systems.
International Journal of Computer Mathematics
Academic article

Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
McLachlan, Robert I.;
Owren, Brynjulf;
Schönlieb, CarolaBibiane.
(2021)
Structure preserving deep learning.
European journal of applied mathematics
Academic article
2020

Curry, Charles Henry Alexander;
EbrahimiFard, Kurusch;
Owren, Brynjulf.
(2020)
The Magnus expansion and postLie algebras.
Mathematics of Computation
Academic article

Haugen, Kjetil K.;
Strandhagen, Jan Ola;
Solberg, Harry Arne;
Kringstad, Morten;
Owren, Brynjulf;
Hansson, Lisa.
(2020)
Fra toppen av Haugen : svensk norgesmester i verdensklasse.
Panorama : nettavis for Høgskolen i Molde
Feature article
2019

Celledoni, Elena;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2019)
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals.
Journal of Physics A: Mathematical and Theoretical
Academic article

Tapley, Benjamin;
Owren, Brynjulf;
Celledoni, Elena;
Andersson, Helge Ingolf.
(2019)
Computational methods for tracking inertial particles in discrete incompressible flows.
arXiv.org
Academic article

Zanna, Antonella;
Owren, Brynjulf.
(2019)
Holmboeprisen 2018.
Tangenten  Tidsskrift for matematikkundervisning
Popular scientific article

Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2019)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
Numerical Algorithms
Academic article

Benning, Martin;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Owren, Brynjulf;
Schönlieb, CarolaBibiane.
(2019)
Deep learning as optimal control problems: models and numerical methods.
Journal of Computational Dynamics
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin.
(2019)
Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps.
arXiv.org
Academic article

Haugen, Kjetil K.;
Owren, Brynjulf;
Strandhagen, Jan Ola;
Kringstad, Morten;
Solberg, Harry Arne;
Guvåg, Bjørn.
(2019)
Fra toppen av Haugen : tabelltips 2019: stadig norgesmester fra Molde.
Panorama : nettavis for Høgskolen i Molde
Feature article

Ohm, Laurel;
Tapley, Benjamin;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2019)
A slender body model for thin rigid fibers: validation and comparisons.
International Center for Numerical Methods in Engineering (CIMNE)
Academic chapter/article/Conference paper

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
Journal of Physics A: Mathematical and Theoretical
Academic article

Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2019)
Variable step size commutator free Lie group integrators.
Numerical Algorithms
Academic article

van der Kamp, Peter H.;
Celledoni, Elena;
Mclachlan, Robert, i;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem.
(2019)
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation.
Journal of Physics A: Mathematical and Theoretical
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energypreserving methods on Riemannian manifolds.
Mathematics of Computation
Academic article
2018

Curry, Charles Henry Alexander;
EbrahimiFard, Kurusch;
Owren, Brynjulf.
(2018)
The Magnus expansion and PostLie algebras.
arXiv.org
Academic article

Haugen, Kjetil K.;
Heen, Knut Peder;
Hauge, Olav;
Gammelsæter, Hallgeir;
Guvåg, Bjørn;
Kringstad, Morten.
(2018)
Fra toppen av Haugen : dobbelt norgesmester.
Panorama : nettavis for Høgskolen i Molde
Feature article

Owren, Brynjulf.
(2018)
Holmboeprisen 2017.
Tangenten  Tidsskrift for matematikkundervisning
Popular scientific article

Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2018)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
arXiv.org
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2018)
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows.
SIAM Journal on Scientific Computing
Academic article

Ringholm, Torbjørn;
Owren, Brynjulf;
Celledoni, Elena.
(2018)
Discrete gradient methods in image processing and partial differential equations on moving meshes.
NTNU
Doctoral dissertation

Haugen, Kjetil K.;
Owren, Brynjulf.
(2018)
Predicting football tables by a maximally parsimonious model.
Mathematics for applications
Academic article
2017

Haugen, Kjetil K.;
Hauge, Olav;
Guvåg, Bjørn;
Gammelsæter, Hallgeir;
Heen, Knut Peder;
Owren, Brynjulf.
(2017)
Fra toppen av Haugen : norgesmester fra Molde.
Panorama : nettavis for Høgskolen i Molde
Feature article

Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2017)
Adaptive energy preserving methods for partial differential equations.
Advances in Computational Mathematics
Academic article

Owren, Brynjulf.
(2017)
Holmboeprisvinneren 2016.
Tangenten  Tidsskrift for matematikkundervisning
Popular scientific article
2016

Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2016)
A Computationally Inexpensive Coordinate Map for Lie Group Integrators.
MI Lecture Note, Kyushu University
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is completely integrable
MI Lecture Note Vol.74 : Kyushu University.
MI Lecture Note, Kyushu University
Academic article

Marthinsen, Håkon;
Owren, Brynjulf.
(2016)
Geometric integration of nonautonomous linear
Hamiltonian problems.
Advances in Computational Mathematics
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is integrable.
MI Lecture Note, Kyushu University
Academic article
2015

Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2015)
Adaptive Energy Preserving Methods for Partial Differential Equations.
arXiv.org
Report

Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
arXiv.org
Report

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2015)
Discretization of polynomial vector fields by polarization.
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
Academic article

Amaya, Manuel;
Owren, Brynjulf.
(2015)
Highorder optimization methods for largescale 3D CSEM data inversion.
Doktoravhandlinger ved NTNU (273)
Doctoral dissertation
2014

Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
On symplectic integration in Lie groups and manifolds.
Doktoravhandlinger ved NTNU (332)
Doctoral dissertation

Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David;
Owren, Brynjulf;
Quispel, G. R. W..
(2014)
Integrability properties of Kahanʼs method.
Journal of Physics A: Mathematical and Theoretical
Academic article

Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
Geometric integration of nonautonomous Hamiltonian problems.
arxiv
Report

Celledoni, Elena;
Owren, Brynjulf;
Sun, Yajuan.
(2014)
The minimal stage, energy preserving RungeKutta method for polynomial Hamiltonian systems is the Averaged Vector Field method.
Mathematics of Computation
Academic article

Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators  basics, new developments and applications.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A
Academic article
2013

Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2013)
Geometric properties of Kahan's method.
Journal of Physics A: Mathematical and Theoretical
Academic article
2012

Celledoni, Elena;
Grimm, Volker;
McLachlan, Robert I.;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf.
(2012)
Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method.
Journal of Computational Physics
Academic article
2011

Dahlby, Morten;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2011)
Preserving multiple first integrals by discrete gradients.
Journal of Physics A: Mathematical and Theoretical
Academic article

Dahlby, Morten;
Owren, Brynjulf.
(2011)
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs.
SIAM Journal on Scientific Computing
Academic article

Christiansen, Snorre H;
MuntheKaas, Hans;
Owren, Brynjulf.
(2011)
Topics in structurepreserving discretization.
Acta Numerica
Academic literature review

Owren, Brynjulf.
(2011)
Werner Romberg: "Vereinfachte numerische Integration''.
Skrifter
Popular scientific article
2010

Dahlby, Morten Lien;
Owren, Brynjulf.
(2010)
A general framework for deriving integral preserving numerical methods for PDEs.
NTNU, Department of Mathematical Sciences
Report

Dahlby, Morten Lien;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2010)
Preserving multiple first integrals by discrete gradients.
NTNU, Department of Mathematical Sciences
Report

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
On conjugate Bseries and their geometric structure.
Journal on Numerical Analysis Industrial and Applied Mathematics
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
EnergyPreserving Integrators and the Structure of Bseries.
Foundations of Computational Mathematics
Academic article
2009

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energypreserving integrators and the structure of Bseries.
IMF, NTNU
Report

Celledoni, Elena;
Grimm, V;
McLachlan, I. Robert;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf.
(2009)
Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method.
Institutt for matematiske fag, NTNU
Report

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Structure of Bseries for some classes of Geometric Integrators.
AIP Conference Proceedings
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energypreserving RungeKutta methods.
Mathematical Modelling and Numerical Analysis
Academic article

Dahlby, Morten Lien;
Owren, Brynjulf.
(2009)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Mathematical Modelling and Numerical Analysis
Academic article
2008

Cohen, David;
Owren, B;
Raynaud, X.
(2008)
Symplectic integration of the CarnassaHolm equation.
Journal of Computational Physics
Academic article

Dahlby, Morten Lien;
Owren, Brynjulf.
(2008)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Institutt for matematiske fag
Report

Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energypreserving RungeKutta methods.
NTNU Institutt for matematiske fag
Report

MuntheKaas, Hans;
Owren, Brynjulf.
(2008)
Mathematics and Computation, a Contemporary View: The Abel Symposium 2006.
Springer
Springer
Academic anthology/Conference proceedings

Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energypreserving methods and Bseries.
Academic chapter/article/Conference paper

Cohen, David;
Owren, Brynjulf;
Raynaud, Xavier.
(2008)
Multisymplectic integration of the Camassa–Holm equation.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics
Academic article
2006

Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
Institutt for Matematiske fag, NTNU
Report

Owren, Brynjulf.
(2006)
Order conditions for commutatorfree Lie group methods.
Journal of Physics A: Mathematical and General
Academic article

Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2006)
Solving the nonlinear Schrodinger equation using exponential integrators.
MIC Journal: Modeling, Identification and Control
Academic article
2005

Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2005)
Bseries and order conditions for exponential integrators.
SIAM Journal on Numerical Analysis
Academic article
2004

Kværnø, Anne;
Kozlov, Roman;
Owren, Brynjulf.
(2004)
The behaviour of the local error in splitting methods applied to stiff problems.
Journal of Computational Physics
Academic article
2003

Berland, Håvard;
Owren, Brynjulf.
(2003)
Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators.
Institutt for matematiske fag, Norges teknisknaturvitenskapelige univ
Report

Owren, Brynjulf;
Kværnø, Anne;
Kozlov, Roman.
(2003)
The behaviour of the local error in splitting methods applied to stiff problems.
Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Report

Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms
Academic article

Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutatorfree Lie group methods.
Future Generation Computer Systems
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2003)
Lie group methods for rigid body dynamics and time integration on manifolds.
Computer Methods in Applied Mechanics and Engineering
Academic article

Casas, F;
Owren, Brynjulf.
(2003)
Cost efficient Lie group integrators in the RKMK class.
Applied Numerical Mathematics
Academic article

Casas, Fernando;
Owren, Brynjulf.
(2003)
Cost Efficient Lie Group Integrators in the RKMK Class.
BIT Numerical Mathematics
Academic article
2002

Casas, Fernando;
Owren, Brynjulf.
(2002)
Cost efficient Lie group integrators in the RKMK class.
Preprint Numerics, Department of Mathematical Sciences, NTNU (5/2002)
Report

Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis
Academic article
2001

Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Report

Owren, Brynjulf.
(2001)
Quadrature methods based on the Cayley transform.
Applied Numerical Mathematics
Academic article

Owren, Brynjulf;
Marthinsen, Arne.
(2001)
Integration methods based on canonical coordinates of the second kind.
Numerische Mathematik
Academic article

Marthinsen, Arne;
Owren, Brynjulf.
(2001)
A note on the construction of CrouchGrossman methods.
BIT Numerical Mathematics
Academic article
2000

Owren, Brynjulf;
Welfert, Bruno.
(2000)
The Newton Iteration on Lie Groups.
BIT Numerical Mathematics
Academic article

Jackiewicz, Zdzislaw;
Marthinsen, Arne;
Owren, Brynjulf.
(2000)
Construction of RungeKutta methods of CrouchGrossman type of high order.
Advances in Computational Mathematics
Academic article
1999

Jackiewicz, Zdzislaw;
Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Construction of RungeKutta Methods of CrouchGrossman Type of High Order.
Preprint Numerics, Department of Mathematical Sciences, NTNU (4)
Report

Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Quadrature Methods Based on the Cayley Transform.
Preprint series Numerics (1999/1)
Report

Kozlov, Roman;
Owren, Brynjulf.
(1999)
Order reduction in operator splitting methods.
Preprint Numerics, Department of Mathematical Sciences, NTNU (6)
Report

MuntheKaas, Hans;
Owren, Brynjulf.
(1999)
Computations in a Free Lie Algebra.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article

Owren, Brynjulf;
Marthinsen, Arne.
(1999)
RungeKutta methods adapted to manifolds and based on rigid frames.
BIT Numerical Mathematics
Academic article
1998

MuntheKaas, Hans;
Owren, Brynjulf.
(1998)
Computations in a free Lie algebra.
Reports in Informatics (148)
Report

Jackiewicz, Zdzislaw;
Owren, Brynjulf;
Welfert, Bruno D..
(1998)
Pseudospectra of waveform relaxation operators.
Computers and Mathematics with Applications
Academic article

Ekeland, Kersti;
Owren, Brynjulf;
Øines, Eivor.
(1998)
Stiffness detection and estimation of dominant spectra with explicit RungeKutta methods.
ACM Transactions on Mathematical Software
Academic article
1997

Marthinsen, Arne;
Marthinsen, Arne;
MuntheKaas, Hans;
MuntheKaas, Hans;
Owren, Brynjulf.
(1997)
Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications.
MIC Journal: Modeling, Identification and Control
Academic article
1996

Nørsett, Syvert Paul;
Kværnø, Anne;
Owren, Brynjulf.
(1996)
RungeKutta research in Trondheim.
Applied Numerical Mathematics
Academic article
1994

Enright, Wayne H.;
Higham, Desmond J.;
Owren, Brynjulf;
Sharp, Philip W..
(1994)
A Survey of the Explicit RungeKutta Method.
Department of Computer Science, University of Toronto
Report
1993

Muir, Paul;
Owren, Brynjulf.
(1993)
Order Barriers and characterizations for continuous monoimplicit RungeKutta schemes.
Mathematics of Computation
Academic article

Landrø, Martin;
ZaalbergMetselaar, Gitta;
Owren, Brynjulf;
Vaage, Svein.
(1993)
Modeling of watergun signatures.
Geophysics
Academic article
1992

Owren, Brynjulf;
Zennaro, Marino.
(1992)
Derivation of efficient, continuous explicit RungeKutta methods.
SIAM Journal of Scientific and Statistical Computing
Academic article
1991

Owren, Brynjulf;
Zennaro, Marino.
(1991)
Order barriers for continuous explicit RungeKutta methods.
Mathematics of Computation
Academic article

Owren, Brynjulf;
Seip, Kristian.
(1991)
A uniqueness result related to the stability of explicit RungeKutta methods.
BIT Numerical Mathematics
Academic article
1990

Owren, Brynjulf;
Seip, Kristian.
(1990)
Some stability results for explicit RungeKutta methods.
BIT Numerical Mathematics
Academic article
Journal publications

Arnold, Martin;
Celledoni, Elena;
Cokaj, Ergys;
Owren, Brynjulf Rustad;
Tumiotto, Denise.
(2024)
Bstability of numerical integrators on Riemannian manifolds
.
Journal of Computational Dynamics
Academic article

Bogfjellmo, Geir;
Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf Rustad;
Quispel, Gilles Reinout Willem.
(2023)
Using aromas to search for preserved measures and integrals in Kahan’s method.
Mathematics of Computation
Academic article

Celledoni, Elena;
Murari, Davide;
Owren, Brynjulf Rustad;
Schonlieb, CarolaBibiane;
Sherry, Ferdia.
(2023)
DYNAMICAL SYSTEMS  BASED NEURAL NETWORKS.
SIAM Journal on Scientific Computing
Academic article

Haugen, Kjetil K.;
Solberg, Harry Arne;
Sætre, Irene Lange;
Kringstad, Morten;
Gammelsæter, Hallgeir;
Vik, Erlend.
(2022)
Fra toppen av Haugen : historien gjentar seg for tabelltippingkongen.
Panorama : nettavis for Høgskolen i Molde
Feature article

Tapley, Benjamin Kwanen;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2022)
Computational geometric methods for preferential clustering of particle suspensions.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin Kwanen.
(2022)
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS.
Journal of Computational Dynamics
Academic article

Haugen, Kjetil K.;
Solberg, Harry Arne;
Sætre, Irene Lange;
Loktu, Morten;
Guvåg, Bjørn;
Owren, Brynjulf.
(2022)
Fra toppen av Haugen : årets vinner er fra NTNU.
Panorama : nettavis for Høgskolen i Molde
Feature article

Celledoni, Elena;
Cokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf Rustad.
(2022)
Dynamics of the Nfold Pendulum in the Framework of Lie Group Integrators.
Mathematics in Industry
Academic article

Celledoni, Elena;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2022)
Learning Hamiltonians of constrained mechanical systems.
Journal of Computational and Applied Mathematics
Academic article

Andersson, Helge Ingolf;
Celledoni, Elena;
Ohm, Laurel;
Owren, Brynjulf;
Tapley, Benjamin.
(2021)
An integral model based on slender body theory, with applications to curved rigid fibers .
Physics of Fluids
Academic article

Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
Owren, Brynjulf;
Schönlieb, CarolaBibiane;
Sherry, Ferdia.
(2021)
Equivariant neural networks for inverse problems.
Inverse Problems
Academic article

Celledoni, Elena;
Çokaj, Ergys;
Leone, Andrea;
Murari, Davide;
Owren, Brynjulf.
(2021)
Lie Group integrators for mechanical systems.
International Journal of Computer Mathematics
Academic article

Celledoni, Elena;
Ehrhardt, Matthias J.;
Etmann, Christian;
McLachlan, Robert I.;
Owren, Brynjulf;
Schönlieb, CarolaBibiane.
(2021)
Structure preserving deep learning.
European journal of applied mathematics
Academic article

Curry, Charles Henry Alexander;
EbrahimiFard, Kurusch;
Owren, Brynjulf.
(2020)
The Magnus expansion and postLie algebras.
Mathematics of Computation
Academic article

Haugen, Kjetil K.;
Strandhagen, Jan Ola;
Solberg, Harry Arne;
Kringstad, Morten;
Owren, Brynjulf;
Hansson, Lisa.
(2020)
Fra toppen av Haugen : svensk norgesmester i verdensklasse.
Panorama : nettavis for Høgskolen i Molde
Feature article

Celledoni, Elena;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2019)
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals.
Journal of Physics A: Mathematical and Theoretical
Academic article

Tapley, Benjamin;
Owren, Brynjulf;
Celledoni, Elena;
Andersson, Helge Ingolf.
(2019)
Computational methods for tracking inertial particles in discrete incompressible flows.
arXiv.org
Academic article

Zanna, Antonella;
Owren, Brynjulf.
(2019)
Holmboeprisen 2018.
Tangenten  Tidsskrift for matematikkundervisning
Popular scientific article

Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2019)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
Numerical Algorithms
Academic article

Benning, Martin;
Celledoni, Elena;
Ehrhardt, Matthias J.;
Owren, Brynjulf;
Schönlieb, CarolaBibiane.
(2019)
Deep learning as optimal control problems: models and numerical methods.
Journal of Computational Dynamics
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
arXiv.org
Academic article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W.;
Tapley, Benjamin.
(2019)
Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps.
arXiv.org
Academic article

Haugen, Kjetil K.;
Owren, Brynjulf;
Strandhagen, Jan Ola;
Kringstad, Morten;
Solberg, Harry Arne;
Guvåg, Bjørn.
(2019)
Fra toppen av Haugen : tabelltips 2019: stadig norgesmester fra Molde.
Panorama : nettavis for Høgskolen i Molde
Feature article

Celledoni, Elena;
Evripidou, Charalambos;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem;
Tapley, Benjamin.
(2019)
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps.
Journal of Physics A: Mathematical and Theoretical
Academic article

Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2019)
Variable step size commutator free Lie group integrators.
Numerical Algorithms
Academic article

van der Kamp, Peter H.;
Celledoni, Elena;
Mclachlan, Robert, i;
McLaren, David I.;
Owren, Brynjulf;
Quispel, Gilles Reinout Willem.
(2019)
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation.
Journal of Physics A: Mathematical and Theoretical
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2019)
Energypreserving methods on Riemannian manifolds.
Mathematics of Computation
Academic article

Curry, Charles Henry Alexander;
EbrahimiFard, Kurusch;
Owren, Brynjulf.
(2018)
The Magnus expansion and PostLie algebras.
arXiv.org
Academic article

Haugen, Kjetil K.;
Heen, Knut Peder;
Hauge, Olav;
Gammelsæter, Hallgeir;
Guvåg, Bjørn;
Kringstad, Morten.
(2018)
Fra toppen av Haugen : dobbelt norgesmester.
Panorama : nettavis for Høgskolen i Molde
Feature article

Owren, Brynjulf.
(2018)
Holmboeprisen 2017.
Tangenten  Tidsskrift for matematikkundervisning
Popular scientific article

Tapley, Benjamin;
Celledoni, Elena;
Owren, Brynjulf;
Andersson, Helge Ingolf.
(2018)
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
arXiv.org
Academic article

Celledoni, Elena;
Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2018)
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows.
SIAM Journal on Scientific Computing
Academic article

Haugen, Kjetil K.;
Owren, Brynjulf.
(2018)
Predicting football tables by a maximally parsimonious model.
Mathematics for applications
Academic article

Haugen, Kjetil K.;
Hauge, Olav;
Guvåg, Bjørn;
Gammelsæter, Hallgeir;
Heen, Knut Peder;
Owren, Brynjulf.
(2017)
Fra toppen av Haugen : norgesmester fra Molde.
Panorama : nettavis for Høgskolen i Molde
Feature article

Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2017)
Adaptive energy preserving methods for partial differential equations.
Advances in Computational Mathematics
Academic article

Owren, Brynjulf.
(2017)
Holmboeprisvinneren 2016.
Tangenten  Tidsskrift for matematikkundervisning
Popular scientific article

Curry, Charles Henry Alexander;
Owren, Brynjulf.
(2016)
A Computationally Inexpensive Coordinate Map for Lie Group Integrators.
MI Lecture Note, Kyushu University
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is completely integrable
MI Lecture Note Vol.74 : Kyushu University.
MI Lecture Note, Kyushu University
Academic article

Marthinsen, Håkon;
Owren, Brynjulf.
(2016)
Geometric integration of nonautonomous linear
Hamiltonian problems.
Advances in Computational Mathematics
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2016)
Two classes of quadratic vector fields for which the Kahan discretization is integrable.
MI Lecture Note, Kyushu University
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Quispel, Reinout.
(2015)
Discretization of polynomial vector fields by polarization.
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
Academic article

Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David;
Owren, Brynjulf;
Quispel, G. R. W..
(2014)
Integrability properties of Kahanʼs method.
Journal of Physics A: Mathematical and Theoretical
Academic article

Celledoni, Elena;
Owren, Brynjulf;
Sun, Yajuan.
(2014)
The minimal stage, energy preserving RungeKutta method for polynomial Hamiltonian systems is the Averaged Vector Field method.
Mathematics of Computation
Academic article

Celledoni, Elena;
Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
An introduction to Lie group integrators  basics, new developments and applications.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2014)
Preserving first integrals with symmetric Lie group methods.
Discrete and Continuous Dynamical Systems. Series A
Academic article

Celledoni, Elena;
McLachlan, Robert I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2013)
Geometric properties of Kahan's method.
Journal of Physics A: Mathematical and Theoretical
Academic article

Celledoni, Elena;
Grimm, Volker;
McLachlan, Robert I.;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf.
(2012)
Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method.
Journal of Computational Physics
Academic article

Dahlby, Morten;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2011)
Preserving multiple first integrals by discrete gradients.
Journal of Physics A: Mathematical and Theoretical
Academic article

Dahlby, Morten;
Owren, Brynjulf.
(2011)
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs.
SIAM Journal on Scientific Computing
Academic article

Christiansen, Snorre H;
MuntheKaas, Hans;
Owren, Brynjulf.
(2011)
Topics in structurepreserving discretization.
Acta Numerica
Academic literature review

Owren, Brynjulf.
(2011)
Werner Romberg: "Vereinfachte numerische Integration''.
Skrifter
Popular scientific article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
On conjugate Bseries and their geometric structure.
Journal on Numerical Analysis Industrial and Applied Mathematics
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2010)
EnergyPreserving Integrators and the Structure of Bseries.
Foundations of Computational Mathematics
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Structure of Bseries for some classes of Geometric Integrators.
AIP Conference Proceedings
Academic article

Celledoni, Elena;
McLachlan, I. Robert;
McLaren, David;
Owren, Brynjulf;
Reinout, Quispel;
Wright, Will.
(2009)
Energypreserving RungeKutta methods.
Mathematical Modelling and Numerical Analysis
Academic article

Dahlby, Morten Lien;
Owren, Brynjulf.
(2009)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Mathematical Modelling and Numerical Analysis
Academic article

Cohen, David;
Owren, B;
Raynaud, X.
(2008)
Symplectic integration of the CarnassaHolm equation.
Journal of Computational Physics
Academic article

Cohen, David;
Owren, Brynjulf;
Raynaud, Xavier.
(2008)
Multisymplectic integration of the Camassa–Holm equation.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2008)
Symmetric exponential integrators for the nonlinear Schroedinger equation.
Foundations of Computational Mathematics
Academic article

Owren, Brynjulf.
(2006)
Order conditions for commutatorfree Lie group methods.
Journal of Physics A: Mathematical and General
Academic article

Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2006)
Solving the nonlinear Schrodinger equation using exponential integrators.
MIC Journal: Modeling, Identification and Control
Academic article

Berland, Håvard;
Owren, Brynjulf;
Skaflestad, Bård.
(2005)
Bseries and order conditions for exponential integrators.
SIAM Journal on Numerical Analysis
Academic article

Kværnø, Anne;
Kozlov, Roman;
Owren, Brynjulf.
(2004)
The behaviour of the local error in splitting methods applied to stiff problems.
Journal of Computational Physics
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2003)
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numerical Algorithms
Academic article

Celledoni, Elena;
Marthinsen, Arne;
Owren, Brynjulf.
(2003)
Commutatorfree Lie group methods.
Future Generation Computer Systems
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2003)
Lie group methods for rigid body dynamics and time integration on manifolds.
Computer Methods in Applied Mechanics and Engineering
Academic article

Casas, F;
Owren, Brynjulf.
(2003)
Cost efficient Lie group integrators in the RKMK class.
Applied Numerical Mathematics
Academic article

Casas, Fernando;
Owren, Brynjulf.
(2003)
Cost Efficient Lie Group Integrators in the RKMK Class.
BIT Numerical Mathematics
Academic article

Celledoni, Elena;
Owren, Brynjulf.
(2002)
A class of intrinsic schemes for orthogonal integration.
SIAM Journal on Numerical Analysis
Academic article

Owren, Brynjulf.
(2001)
Quadrature methods based on the Cayley transform.
Applied Numerical Mathematics
Academic article

Owren, Brynjulf;
Marthinsen, Arne.
(2001)
Integration methods based on canonical coordinates of the second kind.
Numerische Mathematik
Academic article

Marthinsen, Arne;
Owren, Brynjulf.
(2001)
A note on the construction of CrouchGrossman methods.
BIT Numerical Mathematics
Academic article

Owren, Brynjulf;
Welfert, Bruno.
(2000)
The Newton Iteration on Lie Groups.
BIT Numerical Mathematics
Academic article

Jackiewicz, Zdzislaw;
Marthinsen, Arne;
Owren, Brynjulf.
(2000)
Construction of RungeKutta methods of CrouchGrossman type of high order.
Advances in Computational Mathematics
Academic article

MuntheKaas, Hans;
Owren, Brynjulf.
(1999)
Computations in a Free Lie Algebra.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article

Owren, Brynjulf;
Marthinsen, Arne.
(1999)
RungeKutta methods adapted to manifolds and based on rigid frames.
BIT Numerical Mathematics
Academic article

Jackiewicz, Zdzislaw;
Owren, Brynjulf;
Welfert, Bruno D..
(1998)
Pseudospectra of waveform relaxation operators.
Computers and Mathematics with Applications
Academic article

Ekeland, Kersti;
Owren, Brynjulf;
Øines, Eivor.
(1998)
Stiffness detection and estimation of dominant spectra with explicit RungeKutta methods.
ACM Transactions on Mathematical Software
Academic article

Marthinsen, Arne;
Marthinsen, Arne;
MuntheKaas, Hans;
MuntheKaas, Hans;
Owren, Brynjulf.
(1997)
Simulation of ordinary differential equations on manifolds : some numerical experiments and verifications.
MIC Journal: Modeling, Identification and Control
Academic article

Nørsett, Syvert Paul;
Kværnø, Anne;
Owren, Brynjulf.
(1996)
RungeKutta research in Trondheim.
Applied Numerical Mathematics
Academic article

Muir, Paul;
Owren, Brynjulf.
(1993)
Order Barriers and characterizations for continuous monoimplicit RungeKutta schemes.
Mathematics of Computation
Academic article

Landrø, Martin;
ZaalbergMetselaar, Gitta;
Owren, Brynjulf;
Vaage, Svein.
(1993)
Modeling of watergun signatures.
Geophysics
Academic article

Owren, Brynjulf;
Zennaro, Marino.
(1992)
Derivation of efficient, continuous explicit RungeKutta methods.
SIAM Journal of Scientific and Statistical Computing
Academic article

Owren, Brynjulf;
Zennaro, Marino.
(1991)
Order barriers for continuous explicit RungeKutta methods.
Mathematics of Computation
Academic article

Owren, Brynjulf;
Seip, Kristian.
(1991)
A uniqueness result related to the stability of explicit RungeKutta methods.
BIT Numerical Mathematics
Academic article

Owren, Brynjulf;
Seip, Kristian.
(1990)
Some stability results for explicit RungeKutta methods.
BIT Numerical Mathematics
Academic article
Books

MuntheKaas, Hans;
Owren, Brynjulf.
(2008)
Mathematics and Computation, a Contemporary View: The Abel Symposium 2006.
Springer
Springer
Academic anthology/Conference proceedings
Part of book/report

Ohm, Laurel;
Tapley, Benjamin;
Andersson, Helge Ingolf;
Celledoni, Elena;
Owren, Brynjulf.
(2019)
A slender body model for thin rigid fibers: validation and comparisons.
International Center for Numerical Methods in Engineering (CIMNE)
Academic chapter/article/Conference paper

Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energypreserving methods and Bseries.
Academic chapter/article/Conference paper
Report

Murari, Davide;
Celledoni, Elena;
Owren, Brynjulf Rustad;
Sherry, Ferdia;
Schönlieb, CarolaBibiane.
(2022)
Structure preserving neural networks based on ODEs.
NeurIPS 2022 Workshop DLDE homepage
Report

Ringholm, Torbjørn;
Owren, Brynjulf;
Celledoni, Elena.
(2018)
Discrete gradient methods in image processing and partial differential equations on moving meshes.
NTNU
Doctoral dissertation

Eidnes, Sølve;
Owren, Brynjulf;
Ringholm, Torbjørn.
(2015)
Adaptive Energy Preserving Methods for Partial Differential Equations.
arXiv.org
Report

Celledoni, Elena;
McLachlan, Robert I.;
McLaren, David I.;
Owren, Brynjulf;
Quispel, G.R.W..
(2015)
Discretization of polynomial vector fields by polarization.
arXiv.org
Report

Amaya, Manuel;
Owren, Brynjulf.
(2015)
Highorder optimization methods for largescale 3D CSEM data inversion.
Doktoravhandlinger ved NTNU (273)
Doctoral dissertation

Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
On symplectic integration in Lie groups and manifolds.
Doktoravhandlinger ved NTNU (332)
Doctoral dissertation

Marthinsen, Håkon;
Owren, Brynjulf.
(2014)
Geometric integration of nonautonomous Hamiltonian problems.
arxiv
Report

Dahlby, Morten Lien;
Owren, Brynjulf.
(2010)
A general framework for deriving integral preserving numerical methods for PDEs.
NTNU, Department of Mathematical Sciences
Report

Dahlby, Morten Lien;
Owren, Brynjulf;
Yaguchi, Takaharu.
(2010)
Preserving multiple first integrals by discrete gradients.
NTNU, Department of Mathematical Sciences
Report

Celledoni, Elena;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout.
(2009)
Energypreserving integrators and the structure of Bseries.
IMF, NTNU
Report

Celledoni, Elena;
Grimm, V;
McLachlan, I. Robert;
McLaren, David;
O'Neale, Dion;
Owren, Brynjulf.
(2009)
Preserving energy resp. dissipation in numerical PDEs, using the Average Vector Field method.
Institutt for matematiske fag, NTNU
Report

Dahlby, Morten Lien;
Owren, Brynjulf.
(2008)
Plane wave stability of some conservative schemes for the cubic Schrödinger equation.
Institutt for matematiske fag
Report

Celledoni, Elena;
McLaren, David;
McLachlan, I. Robert;
Owren, Brynjulf;
Quispel, Reinout;
Wright, Will.
(2008)
Energypreserving RungeKutta methods.
NTNU Institutt for matematiske fag
Report

Celledoni, Elena;
Cohen, David;
Owren, Brynjulf.
(2006)
Symmetric exponential integrators for the cubic Schroedinger equation.
Institutt for Matematiske fag, NTNU
Report

Berland, Håvard;
Owren, Brynjulf.
(2003)
Algebraic Structures on Ordered Rooted Trees and Their Significance to Lie Group Integrators.
Institutt for matematiske fag, Norges teknisknaturvitenskapelige univ
Report

Owren, Brynjulf;
Kværnø, Anne;
Kozlov, Roman.
(2003)
The behaviour of the local error in splitting methods applied to stiff problems.
Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Report

Casas, Fernando;
Owren, Brynjulf.
(2002)
Cost efficient Lie group integrators in the RKMK class.
Preprint Numerics, Department of Mathematical Sciences, NTNU (5/2002)
Report

Celledoni, Elena;
Owren, Brynjulf.
(2001)
A class of low complexity intrinsic schemes for orthogonal integration.
Preprint Numerics, Department of Mathematical Sciences, NTNU (1)
Report

Jackiewicz, Zdzislaw;
Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Construction of RungeKutta Methods of CrouchGrossman Type of High Order.
Preprint Numerics, Department of Mathematical Sciences, NTNU (4)
Report

Marthinsen, Arne;
Owren, Brynjulf.
(1999)
Quadrature Methods Based on the Cayley Transform.
Preprint series Numerics (1999/1)
Report

Kozlov, Roman;
Owren, Brynjulf.
(1999)
Order reduction in operator splitting methods.
Preprint Numerics, Department of Mathematical Sciences, NTNU (6)
Report

MuntheKaas, Hans;
Owren, Brynjulf.
(1998)
Computations in a free Lie algebra.
Reports in Informatics (148)
Report

Enright, Wayne H.;
Higham, Desmond J.;
Owren, Brynjulf;
Sharp, Philip W..
(1994)
A Survey of the Explicit RungeKutta Method.
Department of Computer Science, University of Toronto
Report
Teaching
Courses
Knowledge Transfer
2019

Academic lectureOhm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf. (2019) A slender body model for thin rigid fibers: validation and comparisons. Faculty of Engineering NTNU 10th National Conference on Computational Mechanics , Trondheim 20190603  20190604
2018

Academic lectureOwren, Brynjulf. (2018) Numerical methods that conserve or dissipate energy on Riemannian manifolds. University of Gdansk Modern Numerical Methods for Quantum Mechanics II , Gdansk 20180627  20180629

Academic lectureTapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf. (2018) A novel approach to rigid spheroid models in viscous flows using operator splitting methods. University of Auckland Auckland Numerical Ordinary Differential Equations Conference , Auckland 20180219  20180223

Academic lectureOwren, Brynjulf. (2018) Discrete gradient methods on Riemannian manifolds . University of Auckland ANODE 2018 , Auckland 20180219  20180223

Academic lectureOwren, Brynjulf. (2018) Structure preserving time integration schemes in computational mechanics. ASME 2018 IDETC/CIE , Quebec 20180826  20180829

Academic lectureOwren, Brynjulf; Curry, Charles Henry Alexander. (2018) Adaptive timestepping in commutatorfree Lie group integrators. NUMDIFF15 20180903  20180907
2017

Academic lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Structure preserving model reduction on Lie groups. NTNU ChiPS kickoff meeting , Trondheim 20170627  20170630

Academic lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Structure preserving model reduction on manifolds. From computation to information: recent advances in numerical analysis , Cambridge 20170831  20170901

Academic lectureOwren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2017) Integral preserving methods on moving grids. BIRS Connections in Geometric Numerical Integration and StructurePreserving Discretization , Banff 20170612  20170616

Academic lectureOwren, Brynjulf; Curry, Charles Henry Alexander. (2017) Coordinate maps on Lie groups and their relation to root systems. Universitetet i Bergen MaGIC 2017 , Vatnahalsen 20170302  20170305

Academic lectureOwren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. University of Barcelona FoCM 2017 20170710  20170719

Academic lectureEidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Adaptive energy preserving methods for partial differential equations. UiB Manifolds and Geometric Integration Colloqium , Vatnahalsen 20170301  20170305

Academic lectureEidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Energy preserving moving mesh methods for PDEs. SciCADE 2017 , University of Bath 20170911  20170915

PosterTapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Zhao, Lihao. (2017) Splitting method integration of nonspherical particles in shear flow. FoCM 2017 , Barcelona 20170710  20170719

Academic lectureOwren, Brynjulf; Celledoni, Elena; Parks, Helen; Rebni Kjer, Vanje. (2017) Model reduction in Lie group integration. University of Bath SciCADE 2017 , Bath 20170911  20170915

Academic lectureEidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. (2017) Energy preserving moving mesh methods for PDEs. NTNU CHiPS (Challenges in the Preservation of Structure) Workshop 2017 , NTNU, Trondheim 20170627  20170630
2016

Academic lectureOwren, Brynjulf; Eidnes, Sølve; Ringholm, Torbjørn. (2016) Energy preserving methods for PDEs on moving meshes. Universitet i Trieste SDIDE 2016 , Trieste 20160621  20160624

Academic lectureOwren, Brynjulf. (2016) Geometric integration methods in model reduction. MaGIC , Ilsetra, Lillehammer 20160218  20160221

Academic lectureOwren, Brynjulf. (2016) Structure preserving model reduction on Lie groups. MFO Geometric integration , Oberwolfach 20160321  20160325
2015

Academic lectureOwren, Brynjulf. (2015) Energy preserving integrators for PDEs on moving meshes. St. Mary's University Bluenose Applied and Computational Math Days Workshop , Halifax 20150711  20150712

Academic lectureOwren, Brynjulf. (2015) An introduction to Lie group integrators. ICMAT, Universidad Autónoma de Madrid Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and LieButcher Series , Madrid 20150525  20150528

Academic lectureOwren, Brynjulf. (2015) Structure preserving model reduction on Lie groups. International Conference on Scientific Computation And Differential Equations 2015 , Potsdam University 20150914  20150918

Academic lectureOwren, Brynjulf; Celledoni, Elena. (2015) Structurepreserving discretization of differential equations. AARMS/PIMS AARMSPIMS Summer School in Differential Equations and Numerical Analysis , Halifax 20150706  20150731

Academic lectureOwren, Brynjulf. (2015) Energy preserving methods for PDEs on moving meshes. NATW seminar, KU Leuven 20150513  20150513

Academic lectureOwren, Brynjulf. (2015) Discretization of polynomial vector fields by polarization. MaGIC 20150226  20150301
2014

Academic lectureOwren, Brynjulf; Marthinsen, Håkon. (2014) A new look at geometric integrators for nonautonomous linear systems. American Institute of Mathematical Sciences AIMS 2014 , Madrid 20140707  20140711

Academic lectureOwren, Brynjulf; Marthinsen, Håkon. (2014) On canonical integrators for nonautonomous systems. University of Tokyo KCNADE 2014 , Kyoto 20140916  20140919

Academic lectureOwren, Brynjulf. (2014) Integral preserving numerical integrators for PDEs on moving meshes. FoCM'2014 , Montevideo 20141211  20141220
2013

Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group integrators and preservation of first integrals. NTNU and UiB MAGiC , Geilo 20130226  20130301

Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Lie group methods for numerical simulation of mechanical systems. Nordic seminar in Computational Mechanics 20131023  20131025

Academic lectureCelledoni, Elena; Owren, Brynjulf. (2013) Integral preserving Lie group integrators. ICMAT K EbrahimiFard TNADE , Madrid 20130708  20130712

Academic lectureOwren, Brynjulf; Celledoni, Elena. (2013) Kahan's method and its geometric properties. Equadiff 2013 20130820  20130830

Academic lectureOwren, Brynjulf. (2013) Integral preserving methods on moving grids. Universitad de Valladolid SciCADE 2013 20130916  20130920

Academic lectureOwren, Brynjulf; Celledoni, Elena; McLachlan, Robert I.; Quispel, G.R.W.. (2013) Kahan's integrator for quadratic problems and its geometric properties. UiB, NTNU Magic 2013 , Geilo 20130225  20130301
2012

Academic lectureCelledoni, Elena; Owren, Brynjulf. (2012) The Kahan's method and its geometric properties. Ahmed SALAM et al. Structured Matrix Computations in nonEuclidean Geometries: Algorithms and Applications , CIRM, Lumini 20121008  20121012

Academic lectureOwren, Brynjulf; Celledoni, Elena. (2012) Lie group integrators and the preservation of first integrals. Ahmed SALAM et al. Structured Matrix Computations in nonEuclidean Geometries: Algorithms and Applications , CIRM, Lumini 20121008  20121012
2011

Academic lectureOwren, Brynjulf. (2011) On energy preserving RungeKutta methods for polynomial Hamiltonian systems. Foundations of Computational Mathematics , Budapest 20110704  20110714

Academic lectureOwren, Brynjulf. (2011) On the preservation of first integrals in numerical integrators. 9th International Conference of Numerical Analysis and Applied Mathematics , Chalkidiki 20110919  20110925
2010

Academic lectureOwren, Brynjulf; Dahlby, Morten Lien. (2010) Integral preserving numerical integrators for PDEs. Banff International Research Station New geometric and numeric tools for the analysis of differential equations 20100813  20100815

Academic lectureOwren, Brynjulf. (2010) Linearly implicit conservative numerical integrators for PDEs. La Trobe University, Victoria, Australia TRAGIC 2010, Tasmanian Rigorous Analysis and Geometric Integration Conference , Launceston, Tasmania 20101213  20101216
2009

Academic lectureOwren, Brynjulf; Dahlby, Morten Lien. (2009) On Conservative, Linearly Implicit Difference Schemes for Hamiltonian PDEs. The University of Tokyo Workshop on StructurePreserving Methods for Partial Differential Equations , Tokyo 20090317  28890319

Academic lectureOwren, Brynjulf; Dahlby, Morten Lien. (2009) Plane wave stability of some conservative schemes for the cubic Schrödinger equation. Numerics groups, NTNU and UiB MAGIC 2009 , Hornsjø, Lillehammer 20090302  20090306

Academic lectureOwren, Brynjulf. (2009) The Averaged Vector Field Method and its Applications to Hamiltonian PDEs. Chinese Academy of Science SciCADE 2009 , Beijing 20090525  20090529

Academic lectureOwren, Brynjulf. (2009) On the construction and behavior of semiexplicit, conservative finite difference schemes for Hamiltonian PDEs. NTNU International Conference on Spectral and High Order Methods , Trondheim 20090622  20090626

Academic lectureOwren, Brynjulf. (2009) Numerical computation of motion in Lie groups and subriemannian geometries. University of Bologna International Conference of subRiemannian Geometry and Vision , Bologna 20090831  20090903

Academic lectureOwren, Brynjulf; Celledoni, Elena; McLachlan, I. Robert; Quispel, Reinout. (2009) Structure of Bseries for some classes of geometric integrators. T. E. Simos 7th International Conference of Numerical Analysis and Applied Mathematics , Rethymno, Crete 20090918  20090922
2008

Academic lectureOwren, Brynjulf. (2008) Lie Group Integrators  an introduction. Jialin Hong Workshop, Chinese Academy of Science , Beijing 20080612  20080612

Academic lectureOwren, Brynjulf. (2008) Energy preserving methods for Hamiltonian problems. David Cohen Instituttseminar ved Institutt for matematikk, Universitetet i Basel , Basel 20080328  20080328

Academic lectureOwren, Brynjulf. (2008) Exponential integrators for second order systems. Ernst Hairer Instituttseminar ved Institutt for matematikk, Universitetet i Geneve , Geneve 20081116  20081116

Academic lectureOwren, Brynjulf. (2008) Numerics, Renormalization, and Noncommutative Geometry  it's an ART. Robert McLachlan Seminar ved Institutt for Matematikk, Massey University , Palmerston North 20080129  20080129

Academic lectureOwren, Brynjulf. (2008) Geometric Integration of Differential Equations on Manifolds. Universtietet i Gent og Universitetet i Leuven 13th International Congress on Computational and Applied Mathematics , Gent 20080707  20080711

Academic lectureOwren, Brynjulf. (2008) Energy preserving methods for Hamiltonian problems. Lorentz center Numerical Modelling of Complex Dynamical Systems , Leiden 20080506  20080509

Academic lectureOwren, Brynjulf. (2008) Energy conserving integrators. Th Simos International Conference of Numerical Analysis and Applied Mathematics 2008 , Kos 20080916  20080920

Academic lectureOwren, Brynjulf. (2008) Geometric integrators for the CamassaHolm equation. Professor Bao Workshop ved Tsinghuauniversitetet, Beijing , Beijing 20080618  20080618
2007

Academic lectureOwren, Brynjulf. (2007) Preserving first integrals in LSseries integrators. INRIA International Conference on SCIentific Computation And Differential Equations , St Malo 20070709  20070713
2005

Academic lectureOwren, Brynjulf. (2005) Geometric Integrators for the Nonlinear Schr¨odinger Equation. Nagoya University International Conference on Scientific Computation and Differential Equations , Nagoya 20050523  20050527

Academic lectureOwren, Brynjulf. (2005) Geometric Integrators for the Nonlinear Schr¨odinger Equation. Foundations of Computational Mathematics Foundations of Computational Mathematics , Santander 20050630  20050709
2003

Academic lectureOwren, Brynjulf. (2003) Algebraic structures on ordered rooted trees and their significance to Lie group integrators. NTNU International Conference on SCIentific Computation And Differential Equations , Trondheim 20030630  20030704
2002

Academic lectureOwren, Brynjulf. (2002) Lie group methods and their expansions. CSC02  Conference on Scientific Computation , Geneve, Switzerland 20020629 
2001

Academic lectureOwren, Brynjulf. (2001) Tree expansions of Lie group methods. University of British Columbia (PIMS) International Conference on Scientific Computation and Differential Equations , Vancouver 20010729  20010802

Academic lectureOwren, Brynjulf. (2001) Commutator free Lie group methods. International Workshop on StructurePreserving Algorithms , Beijing, Kina, 2531 mars

Academic lectureOwren, Brynjulf. (2001) Lie group integrators. Geometry Symmetry and Mechanics I , Lisbon, 11 16 July 2001

Academic lectureOwren, Brynjulf. (2001) Numerical integration methods using Lie group actions. Australasian Research Symposium on Lie Groups, Algebraic Groups, Quantum Groups, and Their Representations (LAQ'2001) , Auckland, New Zealand 20011207 
2000

Academic lectureOwren, Brynjulf. (2000) A Lie algebraic approach to analysing the error in splitting methods. LMS Durham Symposium, Geometric Integration. , Durham, England, 1323 juli, 2000.

Academic lectureOwren, Brynjulf. (2000) Lie Group Integrators. Research Symposium on Geometric Integration , La Trobe University, Melbourne, 1016 desember.
1999

Academic lectureOwren, Brynjulf. (1999) Are Lie Group Methods Affordable?. FoCM'99 , Oxford, England, 1828 juli, 1999.
1997

Popular scientific lectureMarthinsen, Arne; Owren, Brynjulf. (1997) Integration of dynamical systems on manifolds. 4th U.S. National Congress on Computational Mechanics , San Francisco
1992

Academic lectureOwren, Brynjulf; Zennaro, Marino. (1992) Continuous explicit RungeKutta methods. Computational Ordinary Differential Equations , London, July 1989